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Finding the Third Proportional to 130,053 and 279,505

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Solution

The third proportional to 130,053 and 279,505 is: 600,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,053 : 279,505 = 279,505 : x
  2. Step 2: Convert to fraction form
    130,053/279,505 = 279,505/x
  3. Step 3: Cross multiply
    130,053x = 279,505 × 279,505
  4. Step 4: Simplify right side
    130,053x = 78,123,045,025
  5. Step 5: Solve for x
    x = 78,123,045,025/130,053
  6. Step 6: Final answer
    x = 600,701.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.